8217997128 has 128 divisors (see below), whose sum is σ = 25033449600. Its totient is φ = 2477260800.

The previous prime is 8217997103. The next prime is 8217997181.

8217997128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449608 + ... + 467528.

It is an arithmetic number, because the mean of its divisors is an integer number (195573825).

Almost surely, 2^8217997128 is an apocalyptic number.

8217997128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8217997128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12516724800).

8217997128 is an abundant number, since it is smaller than the sum of its proper divisors (16815452472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8217997128 is a wasteful number, since it uses less digits than its factorization.

8217997128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18140 (or 18130 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 8217997128 is about 90653.1694316310. The cubic root of 8217997128 is about 2018.0038713283.

The spelling of 8217997128 in words is "eight billion, two hundred seventeen million, nine hundred ninety-seven thousand, one hundred twenty-eight".